Integral Geometry And Geometric Probability
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Integral Geometry And Geometric Probability
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Author : Luis A. Santaló
language : en
Publisher: Cambridge University Press
Release Date : 2004-10-28
Integral Geometry And Geometric Probability written by Luis A. Santaló and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-28 with Mathematics categories.
Classic text on integral geometry now available in paperback in the Cambridge Mathematical Library.
Integral Geometry And Geometric Probability
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Author : Luis Antonio Santaló
language : en
Publisher:
Release Date : 1984
Integral Geometry And Geometric Probability written by Luis Antonio Santaló and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Geometric probabilities categories.
Introduction To Geometric Probability
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Author : Daniel A. Klain
language : en
Publisher: Cambridge University Press
Release Date : 1997-12-11
Introduction To Geometric Probability written by Daniel A. Klain and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-11 with Mathematics categories.
The purpose of this book is to present the three basic ideas of geometrical probability, also known as integral geometry, in their natural framework. In this way, the relationship between the subject and enumerative combinatorics is more transparent, and the analogies can be more productively understood. The first of the three ideas is invariant measures on polyconvex sets. The authors then prove the fundamental lemma of integral geometry, namely the kinematic formula. Finally the analogues between invariant measures and finite partially ordered sets are investigated, yielding insights into Hecke algebras, Schubert varieties and the quantum world, as viewed by mathematicians. Geometers and combinatorialists will find this a most stimulating and fruitful story.
Integral Geometry And Geometric Probability
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Author : Luis A. Santalo
language : en
Publisher: Cambridge University Press
Release Date : 1984-12-28
Integral Geometry And Geometric Probability written by Luis A. Santalo and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-12-28 with Mathematics categories.
Integral geometry originated with problems on geometrical probability and convex bodies. Its later developments, however, have proved to be useful in several fields ranging from pure mathematics (measure theory, continuous groups) to technical and applied disciplines (pattern recognition, stereology). This book is a systematic exposition of the theory and a compilation of the main results in the field. The volume can be used for a one-semester undergraduate course in probability and differential geometry or as a complement to classical courses on differential geometry, Lie groups, or probability.
Stochastic And Integral Geometry
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Author : Rolf Schneider
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-08
Stochastic And Integral Geometry written by Rolf Schneider and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-08 with Mathematics categories.
Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, and it has vigorously developed during recent decades, when an increasing number of real-world applications in various sciences required solid mathematical foundations. Integral geometry studies geometric mean values with respect to invariant measures and is, therefore, the appropriate tool for the investigation of random geometric structures that exhibit invariance under translations or motions. Stochastic and Integral Geometry provides the mathematically oriented reader with a rigorous and detailed introduction to the basic stationary models used in stochastic geometry – random sets, point processes, random mosaics – and to the integral geometry that is needed for their investigation. The interplay between both disciplines is demonstrated by various fundamental results. A chapter on selected problems about geometric probabilities and an outlook to non-stationary models are included, and much additional information is given in the section notes.
Topics In Integral Geometry
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Author : De-lin Ren
language : en
Publisher: World Scientific
Release Date : 1994
Topics In Integral Geometry written by De-lin Ren and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Essentials of integral geometry in a homogenous space are presented and the focus is on the basic results and applications. This book provides the readers with new findings, some being published for the first time and serves as an excellent graduate text.
Integral Geometry And Geometric Probability
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Author : Luis Antonio Santaló Sors
language : en
Publisher:
Release Date : 1979
Integral Geometry And Geometric Probability written by Luis Antonio Santaló Sors and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
An Introduction To Geometrical Probability
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Author : A.M. Mathai
language : en
Publisher: CRC Press
Release Date : 1999-12-01
An Introduction To Geometrical Probability written by A.M. Mathai and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-12-01 with Mathematics categories.
A useful guide for researchers and professionals, graduate and senior undergraduate students, this book provides an in-depth look at applied and geometrical probability with an emphasis on statistical distributions. A meticulous treatment of geometrical probability, kept at a level to appeal to a wider audience including applied researchers who will find the book to be both functional and practical with the large number of problems chosen from different disciplines A few topics such as packing and covering problems that have a vast literature are introduced here at a peripheral level for the purpose of familiarizing readers who are new to the area of research.
Integral Geometry And Radon Transforms
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Author : Sigurdur Helgason
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-17
Integral Geometry And Radon Transforms written by Sigurdur Helgason and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-17 with Mathematics categories.
In this text, integral geometry deals with Radon’s problem of representing a function on a manifold in terms of its integrals over certain submanifolds—hence the term the Radon transform. Examples and far-reaching generalizations lead to fundamental problems such as: (i) injectivity, (ii) inversion formulas, (iii) support questions, (iv) applications (e.g., to tomography, partial di erential equations and group representations). For the case of the plane, the inversion theorem and the support theorem have had major applications in medicine through tomography and CAT scanning. While containing some recent research, the book is aimed at beginning graduate students for classroom use or self-study. A number of exercises point to further results with documentation. From the reviews: “Integral Geometry is a fascinating area, where numerous branches of mathematics meet together. the contents of the book is concentrated around the duality and double vibration, which is realized through the masterful treatment of a variety of examples. the book is written by an expert, who has made fundamental contributions to the area.” —Boris Rubin, Louisiana State University